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Simplifying 7x + 26 = 3x + 74 Reorder the terms: 26 + 7x = 3x + 74 Reorder the terms: 26 + 7x = 74 + 3x Solving 26 + 7x = 74 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 26 + 7x + -3x = 74 + 3x + -3x Combine like terms: 7x + -3x = 4x 26 + 4x = 74 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + 4x = 74 + 0 26 + 4x = 74 Add '-26' to each side of the equation. 26 + -26 + 4x = 74 + -26 Combine like terms: 26 + -26 = 0 0 + 4x = 74 + -26 4x = 74 + -26 Combine like terms: 74 + -26 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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